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\begin{document}
\title{Strong spin-orbit effects in transition metal oxides with tetrahedral coordination}
\author{\underline{F. Forte}}
\affiliation{Physics Department ‘E. R. Caianiello’, University of Salerno, Italy}
\affiliation{CNR-SPIN, Operative Unit of Salerno, Italy}
\author{D. Guerra}
\affiliation{Physics Department ‘E. R. Caianiello’, University of Salerno, Italy}
\author{A. Avella}
\affiliation{Physics Department ‘E. R. Caianiello’, University of Salerno, Italy}
\affiliation{CNR-SPIN, Operative Unit of Salerno, Italy}
\author{C. Autieri}
\affiliation{CNR-SPIN, Operative Unit of L’Aquila, Italy}
\author{A. Romano}
\affiliation{Physics Department ‘E. R. Caianiello’, University of Salerno, Italy}
\affiliation{CNR-SPIN, Operative Unit of Salerno, Italy}
\author{C.~Noce}
\affiliation{Physics Department ‘E. R. Caianiello’, University of Salerno, Italy}
\affiliation{CNR-SPIN, Operative Unit of Salerno, Italy}
\begin{abstract}
We analyze the effects of strong spin-orbit coupling (SOC) in heavy transition metal oxides with tetrahedral coordination and \textit{eg}$^1$ configuration. We show that the interplay between strong Hubbard interaction, large SOC strength and crystal field leads to an unquenched orbital momentum and a deviation from a conventional \textit{s}=1/2 Heisenberg antiferromagnet, to an extent that crucially depends on the ratio between the microscopic parameters. The specific case of the insulating KOsO$_4$ is analyzed by combined ab-initio and exact diagonalization approaches. We show that, due to the peculiar hopping connectivity and structural deformation, an entangled spin/orbital state emerges, which is marked by strong anisotropy.


\textbf{References:}
\begin{spacing}{0.8}

{\scriptsize[1] D. Pesin and L. Balents, Nat. Phys. \textbf{6}, 376 (2010)}
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\end{abstract}
\maketitle

\end{document}
